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11
A system of N non-interacting and distinguishable particles of spin 1 is in thermodynamic equilibrium. The entropy of the system is
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Answer: Option C
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12
Which of the following conditions should be satisfied by the temperature T of a system of N non-interacting particles occupying a volume V, for Bose-Einstein condensation to take place?
(where, m is the mass of each particle of the system, kB is the Boltzmann constant, h is the Planck's constant and $$\xi $$ is the well known zeta function.)
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Answer: Option A
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13
If the isothermal compressibility of a solid is KT = 10-10 (Pa)-1, the pressure required to increase its density by 1% is approximately
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Answer: Option A
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14
The equation of state of a dilute gas at very high temperature is described by $$\frac{{pV}}{{{k_B}T}} \approx 1 + \frac{{B\left( T \right)}}{V},$$    where V is the volume per particle and B(T) is a negative quantity. One can conclude that this is a property of
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Answer: Option A
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15
Which of the following atoms cannot exhibit Bose-Einstein condensation, even in principle?
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Answer: Option A
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16
Which of the following relations between the particle number density n and temperature T must hold good for a gas consisting of non-interacting particles to be described by quantum statistics?
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Answer: Option B
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17
In a first order phase transition, at the transition temperature, specific heat of the system
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Answer: Option B
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18
A monatomic crystalline solid comprises of N atoms, out of which n atoms are in interstitial positions. If the available interstitial sites are N', then number of possible micro-states is
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Answer: Option D
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19
The temperature of a cavity of fixed volume is doubled. Which of the following is true for the black-body radiation inside the cavity?
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Answer: Option C
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20
A heat pump working on the Carnot cycle maintains the inside temperature of a house at 22°C by supplying 450 kJ/s. If the outside temperature is 0°C, the heat taken, in kJ/s, from the outside air is approximately
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Answer: Option D
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